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Finding the Fourth Proportional to 3,607.96, 5,415.56 and 2,434.24

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Solution

The fourth proportional to 3,607.96, 5,415.56 and 2,434.24 is: 3,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.96 : 5,415.56 = 2,434.24 : x
  2. Step 2: Convert to fraction form
    3,607.96/5,415.56 = 2,434.24/x
  3. Step 3: Cross multiply
    3,607.96x = 5,415.56 × 2,434.24
  4. Step 4: Simplify right side
    3,607.96x = 13,182,772.77
  5. Step 5: Solve for x
    x = 13,182,772.77/3,607.96
  6. Step 6: Final answer
    x = 3,653.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.